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Finding the Fourth Proportional to 387.97, 581.72 and 266.40

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Solution

The fourth proportional to 387.97, 581.72 and 266.40 is: 399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.97 : 581.72 = 266.40 : x
  2. Step 2: Convert to fraction form
    387.97/581.72 = 266.40/x
  3. Step 3: Cross multiply
    387.97x = 581.72 × 266.40
  4. Step 4: Simplify right side
    387.97x = 154,968.88
  5. Step 5: Solve for x
    x = 154,968.88/387.97
  6. Step 6: Final answer
    x = 399.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.